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Finding the Fourth Proportional to 10,938, 16,407 and 2,730

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Solution

The fourth proportional to 10,938, 16,407 and 2,730 is: 4,095

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,938 : 16,407 = 2,730 : x
  2. Step 2: Convert to fraction form
    10,938/16,407 = 2,730/x
  3. Step 3: Cross multiply
    10,938x = 16,407 × 2,730
  4. Step 4: Simplify right side
    10,938x = 44,791,110
  5. Step 5: Solve for x
    x = 44,791,110/10,938
  6. Step 6: Final answer
    x = 4,095

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.